In the present article, we studied the effect of nonthermal electrons on the formation and existence of double‐layer structures in a three‐species plasma consisting of positive ions, nonthermal electrons, and immobile negative dust‐charged grains. Employing the reductive perturbations, a modified Korteweg–de Vries (mKdV) type equation is derived for the dust‐ion‐acoustic waves (DIAWs) bearing nonthermality. We found that both positive and negative polarity shock structures (double layer) can exist such that it switches polarity while changing the dust charge concentrations. However, strong nonthemality favours only rarefactive structures irrespective of the ion temperature. It is also found that increasing the nonthermal electron in the system the width of the double layer is increased; furthermore, the shock structure forms with small dust charge concentration. For small ionic temperature, increasing the nonthermal electrons in the system makes the double layer potential to increase; however, for σ = 1 reverse phenomena occurs. Our results are relevant to the shock observations in Q machine experiments and in the ionospheric regime of the earth.

中文翻译：

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非热尘尘等离子体中小振幅静电双层结构的存在与形成

在本文中，我们研究了非热电子对三态等离子体中双层结构的形成和存在的影响，该等离子体由正离子，非热电子和固定的负粉尘颗粒组成。利用还原扰动，推导了带有非热性的尘埃离子声波（DIAW）的修正的Korteweg-de Vries（mKdV）型方程。我们发现，正极性和负极性电击结构（双层）都可以存在，从而可以在改变粉尘电荷浓度的同时切换极性。然而，无论离子温度如何，强的非热性仅有利于稀有结构。还发现增加系统中的非热电子，双层的宽度增加；此外，冲击结构形成，粉尘电荷浓度小。对于较小的离子温度，增加系统中的非热电子会使双层电势增加；但是，对于σ  = 1发生反向现象。我们的结果与Q机实验和地球电离层状态下的冲击观测有关。